Hello!
This is a problem about the general solution of a differential equation.
What we can first do here is separate the variables so that we have the same variable for each side (ex. 
with the 
term and 
with the 
term).
Then, we can integrate using the power rule to get rid of the differentiating terms, remember to add the constant of integration, C, to at least one side of the resulting equation.
Then here, we just solve for and we have our general solution.
![y=\sqrt[3]{\frac{1}{2}x^2-x+C}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7B%5Cfrac%7B1%7D%7B2%7Dx%5E2-x%2BC%7D)
We can see that answer choice D has an equivalent equation, so answer choice D is the correct answer.
Hope this helps!
Answer:
the area of the garden is 9 square kilometers
Step-by-step explanation:
4s=12
s=3
A= 3*3 = 9
D= Density
m= mass
V= Volume
D=m÷V
= 8÷32
D= 1/4
Simplify:
8/36=4/18=2/9=0.22222(repeating)
Your answer would be 2/9 or 0.22222(etc.).
I hope this helps :)
Answer:
1. 4
2. 35
3. Her yard is a rectangle. She needs a 3000 feet of fence.
Step-by-step explanation:
1. The length of one side is 5 - 3 = 2 (subtract the y values)
The length of the other side is 7 - 3 = 4 (subtract the x values)
So the area is 2*4 = 8
2. The length of one side is 6 - 3 = 5 (subtract the x values)
The length of the other side is 7 - 0 = 7 (subtract the y values)
So the area is 5 * 7 = 35
3. The shape of her yard is a rectangle.
The length of one side of the fence is 5 - 0 = 5 units (subtract the x values)
The length of the other side of the fence is 10 - 0 = 10 units (subtract the y values)
The perimeter would be
(2*5) + (2*10)
= 30 units
Since the distance between each unit plotted is 100 feet, the total amount of fence needed would be
30 * 100
= 3000 ft
